Problem #6: A model for a certain population P(1) is given by the initial value problem dP-H10-3-10-13 P), dt P(0)= 100000000, where t is measured in months (a) What is the limiting value of the popu...
Problem #10: A model for a certain population P() is given by the initial value problem P(10-1-10-9 P), P(0) - 1000000 dt where t is measured in months (a) What is the limiting value of the population? (b) At what time (i.e., after how many months) will the populaton be equal to one fifth of the limiting value in (a)? (Do not round any numbers for this part. You work should be all symbolic.) Problem #10(a): 100000000 Enter your answer...
Problem #7: Suppose that a population P(t) follows the following Gompertz differential equation. dP = 6P(17-InP), di with initial condition P(O) 80. (a) What is the limiting value of the population'? (b) What is the value of the population when 62 Enter your answer symbolically as in these examples exp(17) Problem #7(a): e17 Enter your answer symbolically, as in these examples exp(((17-exp(-36))*(17-ln(80))) Problem #7(b): e(17-e-36)(17-in(80)) Problem #7: Suppose that a population P(t) follows the following Gompertz differential equation. dP =...
Problem 8 [15 points: A model for the population P(t) in a suburb of a city (in thousands) is given by the initial-value problem dP dt = P(10-P), P(0)-5, where t is measured in months (a) Solve this IVP for P(t)7. (b) What is the limiting value of the population [3] -half of this limiting value pr
(Example 7.2.4) Use the Laplace transform to solve the initial-value problem 6. dy + 3-13 sin 2t, dt y(0)-6
10. Write a one-page summary of the attached paper? INTRODUCTION Many problems can develop in activated sludge operation that adversely affect effluent quality with origins in the engineering, hydraulic and microbiological components of the process. The real "heart" of the activated sludge system is the development and maintenance of a mixed microbial culture (activated sludge) that treats wastewater and which can be managed. One definition of a wastewater treatment plant operator is a "bug farmer", one who controls the aeration...